A distributed computation scheme for real-time control and estimation of PDEs

Satadru Dey, Yongqiang Wang, Beshah Ayalew

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Real-time estimation/control of Partial Differential Equation (PDE) systems, especially for large-scale applications, generally involves high computational burdens. In this paper, we propose a distributed computation scheme, which can leverage available and otherwise idle computing resources to cooperatively solve the high-dimensional controller/estimator implementations for fine-grained management of such PDE systems. Such a real-time distributed computation scheme requires communication among the computing resources which is subject to uncertainties due to imperfections of the communication network. Given this scenario, the proposed approach: 1) includes a modeling framework in the controller/estimator implementation that explicitly addresses network uncertainties, 2) uses a diagonalization-based scheme where the approximated ODE form is transformed into the diagonal form before implementation in order to minimize the communication requirement, and 3) includes a filtering solution to suppress the effect of communication uncertainties. The proposed scheme is illustrated via a real-time state estimation of individual battery cells in vehicle battery packs using a network of vehicular computing units. Simulation results are included to illustrate the effectiveness of the scheme.

Original languageEnglish (US)
Title of host publication2016 American Control Conference, ACC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9781467386821
StatePublished - Jul 28 2016
Event2016 American Control Conference, ACC 2016 - Boston, United States
Duration: Jul 6 2016Jul 8 2016

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


Other2016 American Control Conference, ACC 2016
Country/TerritoryUnited States

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


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